Concept
Procrustes analysis
Related publications (5)
Dictionary Learning for Two-Dimensional Kendall Shapes
Michaël Unser, Julien René Pierre Fageot, Virginie Sophie Uhlmann, Anna You-Lai Song
We propose a novel sparse dictionary learning method for planar shapes in the sense of Kendall, namely configurations of landmarks in the plane considered up to similitudes. Our shape dictionary method provides a good trade-off between algorithmic simplici ...
SIAM PUBLICATIONS2020Procrustes Metrics on Covariance Operators and Optimal Transportation of Gaussian Processes
Victor Panaretos, Yoav Zemel, Valentina Masarotto
Covariance operators are fundamental in functional data analysis, providing the canonical means to analyse functional variation via the celebrated Karhunen-Loeve expansion. These operators may themselves be subject to variation, for instance in contexts wh ...
2019Procrustes Metrics and Optimal Transport for Covariance Operators
Covariance operators play a fundamental role in functional data analysis, providing the canonical means to analyse functional variation via the celebrated Karhunen-Loève expansion. These operators may themselves be subject to variation, for instance in con ...
EPFL2019Fréchet means and Procrustes analysis in Wasserstein space
We consider two statistical problems at the intersection of functional and non-Euclidean data analysis: the determination of a Fréchet mean in the Wasserstein space of multivariate distributions; and the optimal registration of deformed random measures and ...
2019Free form deformation techniques applied to 3D shape optimization problems
Alfio Quarteroni, Gianluigi Rozza, Anwar Koshakji
The purpose of this work is to analyse and study an efficient parametrization technique for a 3D shape optimization problem. After a brief review of the techniques and approaches already available in literature, we recall the Free Form Deformation parametr ...
2013